Wow. That surprised me, Bill. Our '06 Monterey's entry door scissor's plates are both screwed in. Don't know why there's rivets on yours.
Yes, the small stop-flange on ours was tucking under the opposite arm on occasion, though not enough to go all the way across it and let the scissor unit go completely the other way. The convex blister in one arm has to engage just right in the concave dimple on the other arm, to hold the door open at full swing but allow a firm nudge to disengage them for closing. An imperceptably bent arm and/or a loose center pivot fouls that proper engagement. After our BCS tech's fix (and I'm not sure precisely what all he did to it), the scissor arm works perfectly every time. Can't say enough about those guys' expertise. He also glued in a small felt pad on the door top and on one on the top door frame - they are near one another when the door is shut; I think it helps keep the scissor from rattling on the road, but I'm not sure. I've seen them do it before, so reckon they know what they're doing.
If you could drill out the rivets and remove the unit, and were fortunate enough to have access to a vice, you could straighten the arms and perhaps squeeze and hammer the pivot to eliminate the excess play. Sans vice, I reckon a hammer alone would have to do. But then I'd try to tap the holes in the door top, or use threaded inserts, so I could use screws instead of rivets to replace the plate.
The entry doors on our coaches have to take a lot of abuse. A gust of wind or a careless person/child slamming them or pushing them hard against the open stop is a common event. It's no surprise things go haywire with hinge problems, latch breakdowns, misalignment, air seal damage, or the glass loses its seal resulting in moisture intrusion between the panes. You and I might operate the door with the ultimate in caution, but we're not the only ones using it.
-Joel